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Finding the Third Proportional to 34,948 and 55,589

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Solution

The third proportional to 34,948 and 55,589 is: 88,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,948 : 55,589 = 55,589 : x
  2. Step 2: Convert to fraction form
    34,948/55,589 = 55,589/x
  3. Step 3: Cross multiply
    34,948x = 55,589 × 55,589
  4. Step 4: Simplify right side
    34,948x = 3,090,136,921
  5. Step 5: Solve for x
    x = 3,090,136,921/34,948
  6. Step 6: Final answer
    x = 88,420.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.